- Functional extended redundancy analysis (FERA) was recently developed to integrate data reduction into functional linear models. This technique extracts a component from each of multiple sets of predictor data in such a way that the component accounts for the maximum variance of response data. Moreover, it permits predictor and/or response data to be functional. FERA can be of use in describing overall characteristics of each set of predictor data and in summarizing the relationships between predictor and response data. In this paper, we extend FERA into the framework of generalized linear models (GLM), so that it can deal with response data generated from a variety of distributions. Specifically, the proposed method reduces each set of predictor functions to a component and uses the component for explaining exponential-family responses. As in GLM, we specify the random, systematic, and link function parts of the proposed method. We develop an iterative algorithm to maximize a penalized log-likelihood criterion that is derived in combination with a basis function expansion approach. We conduct two simulation studies to investigate the performance of the proposed method based on synthetic data. In addition, we apply the proposed method to two examples to demonstrate its empirical usefulness.
=>機能の, 関数の, 機能する, 機能上の, 実用的な, 機能的な
Overview of adj functional
The adj functional has 6 senses (first 2 from tagged texts)
1. (3) functional -- (designed for or capable of a particular function or use; "a style of writing
in which every word is functional"; "functional architecture")
2. (1) functional -- (involving or affecting function rather than physiology; "functional deafness")
3. functional -- (relating to or based on function especially as opposed to structure; "the problem
now is not a constitutional one; it is a functional one"; "delegates elected on a functional rather
than a geographical basis")
4. functional, usable, useable, operable, operational -- (fit or ready for use or service; "the
toaster was still functional even after being dropped"; "the lawnmower is a bit rusty but still
usable"; "an operational aircraft"; "the dishwasher is now in working order")
5. functional -- (designed for or adapted to a function or use; "functional education selects
knowledge that is concrete and usable rather than abstract and theoretical"; "functional
architecture")
6. running, operative, functional, working -- ((of e.g. a machine) performing or capable of
performing; "in running (or working) order"; "a functional set of brakes")
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